New developments in quantum spin chains

• Grant number: 17/02987-8
• Support type: Scholarships in Brazil - Post-Doctorate
• Effective date (Start): June 01, 2017
• Effective date (End): May 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Cooperation agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Francisco Castilho Alcaraz
• Grantee: Rodrigo Alves Pimenta
• Home Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 15/23849-7 - Quantum spin chains, AP.TEM

Abstract

We will investigate physical and mathematical properties of quantum spin chains. The focus will be in two aspects of the quantum inverse scattering method. The first one is the development of the modified algebraic Bethe ansatz aiming the construction of the off-shell Bethe vector for, for example, SL(3) spin chains with integrable non-diagonal boundary conditions. The second main problem is the calculation of scalar products and form factors, taking into account recent developments such as in the separation of variables framework. In addition, we will consider related problems and possible applications. (AU)

Scientific publications

(6)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BASEILHAC, PASCAL; PIMENTA, RODRIGO A. Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz. Nuclear Physics B, v. 949, DEC 2019. Web of Science Citations: 0.

NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A.; RETORE, ANA L. Towards the solution of an integrable D-2((2)) spin chain. Journal of Physics A-Mathematical and Theoretical, v. 52, n. 43 OCT 25 2019. Web of Science Citations: 0.

BASEILHAC, PASCAL; CRAMPE, NICOLAS; PIMENTA, RODRIGO A. Higher rank classical analogs of the Askey-Wilson algebra from the sl(N) Onsager algebra. Journal of Mathematical Physics, v. 60, n. 8 AUG 2019. Web of Science Citations: 0.

NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A. New D-n+1((2)) K-matrices with quantum group symmetry. Journal of Physics A-Mathematical and Theoretical, v. 51, n. 39 SEP 28 2018. Web of Science Citations: 1.

LIMA-SANTOS, ANTONIO; NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A. A tale of two Bethe ansatze. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, APR 2018. Web of Science Citations: 0.

NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A.; RETORE, ANA L. The integrable quantum group invariant A2n-1((2)) and Dn+1((2)) open spin chains. Nuclear Physics B, v. 924, p. 86-127, NOV 2017. Web of Science Citations: 3.